Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces

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Date
2016
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Cambridge : arXiv
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Abstract

We prove interior H2s−ε regularity for weak solutions of linear elliptic integro-differential equations close to the fractional s-Laplacian. The result is obtained via intermediate estimates in Nikol'skii spaces, which are in turn carried out by means of an appropriate modification of the classical translation method by Nirenberg.

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